Answer:
Tess is correct
Step-by-step explanation:
First off, to find out the new discounted price without the sales tax, you multiply $24.50 by 15% (0.15). This gives you $3.68. You then subtract the $3.68 from $24.50. You get $20.82. To find the total with sales tax you then multiply the $20.82 by 10% (0.1). You add the discounted price with the sales tax and get the conclusion that they have enough money for the book.
Answer:
The width of the garden bed must be less than or equal to 4 feet.
![w\leq4](https://tex.z-dn.net/?f=w%5Cleq4)
Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet
![\begin{gathered} P=2l+2w\leq20 \\ 2l+2w\leq20 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20P%3D2l%2B2w%5Cleq20%20%5C%5C%202l%2B2w%5Cleq20%20%5Cend%7Bgathered%7D)
Given;
The length is 6 feet;
![l=6](https://tex.z-dn.net/?f=l%3D6)
To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;
![\begin{gathered} 2l+2w\leq20 \\ 2(6)+2w\leq20 \\ 12+2w\leq20 \\ 2w\leq20-12 \\ 2w\leq8 \\ \frac{2w}{2}\leq\frac{8}{2} \\ w\leq4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%202l%2B2w%5Cleq20%20%5C%5C%202%286%29%2B2w%5Cleq20%20%5C%5C%2012%2B2w%5Cleq20%20%5C%5C%202w%5Cleq20-12%20%5C%5C%202w%5Cleq8%20%5C%5C%20%5Cfrac%7B2w%7D%7B2%7D%5Cleq%5Cfrac%7B8%7D%7B2%7D%20%5C%5C%20w%5Cleq4%20%5Cend%7Bgathered%7D)
Therefore, the width of the garden bed must be less than or equal to 4 feet.
The sum of the angles equals 540
There are 3 angles that measure (x - 30) and 2 angles that measure (x)
3(x - 30) + 2(x) = 540
3x - 90 + 2x = 540
5x - 90 = 540
5x = 630
x = 126
x - 30 = 126 - 30 = 96
Answer: x = 126, x-30 = 96
y=7x-5 This is the same as saying y-7x = -5 Well easy. You just make up numbers that make this work. Let x be 1 y-7=-5 y=-5+7 y=2 So one ordered pair is (1,2) Let x=2 y-14=-5 y=9 So another ordered pair is (2,9) Let x=3 y-21=-5 y=-5+21 y=16 So another ordered pair is (3,16)
hope it helps
All you have to do is write a positive number. let's say 4, then write a positive exponent (that's the tiny number in the right corner of the regular number) and then just write a positive exponent less than 4.
So 4 squared